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Finding the Fourth Proportional to 24,579, 36,868.64 and 6,111

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Solution

The fourth proportional to 24,579, 36,868.64 and 6,111 is: 9,166.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,579 : 36,868.64 = 6,111 : x
  2. Step 2: Convert to fraction form
    24,579/36,868.64 = 6,111/x
  3. Step 3: Cross multiply
    24,579x = 36,868.64 × 6,111
  4. Step 4: Simplify right side
    24,579x = 225,304,259.04
  5. Step 5: Solve for x
    x = 225,304,259.04/24,579
  6. Step 6: Final answer
    x = 9,166.53

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.